Respuesta :
The sum of the angle of the triangle is 180 degrees. Then the measure of angle ∠2 is 98°.
What is an angle?
Angle is the space between the line or the surface that meets. And the angle is measured in degree. For complete 1 rotation, the angle is 360 degrees.
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.
Corresponding angle - If two lines are parallel then the third line. The corresponding angles are equal angles.
Lines y and z are parallel.
The parallel lines are cut by transversals s and t.
The angles are formed by lines s, t, and y be (10x + 5), a, (4x – 7).
∠1 and (10x + 5)° are equal because they are corresponding angles.
And ∠1 and 65° are equal because they are supplement angles.
Then we have
(10x + 5)° = 65°
10x = 65 - 5
10x = 60
x = 6
Then we have
(10x + 5)° = 10 × 6 + 5 = 65°
(4x – 7)° = 4 × 6 – 7 = 17°
We know that the sum of internal angles of the triangle is 180 degrees. Then we have
∠2 + 65° + 17° = 180°
∠2 + 82° = 180°
∠2 = 98°
The measure of angle ∠2 is 98°.
More about the angled link is given below.
https://brainly.com/question/15767203
Answer:
The answer is 28 degrees.
Step-by-step explanation:
None needed, it's right.
